Square Root of 89/32 (√89/32)

Square Root of 89/32

The square root of 89/32 can either mean the square root of (89/32) or the square root of 89 divided by 32. These are different problems with potentially different answers.

Calculate √89/32
The square root of (89/32) is the same as the square root of 89 divided by the square root of 32. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

		√89
		√32

≈

		9.434
		5.6569

≈ 1.6677

Alternatively, we first divide 89 by 32 and then do the square root of the quotient:

√89/32 ≈ √2.7813 ≈ 1.6677

Calculate √89/32
To calculate the square root of 89 divided by 32, you first take the square root of 89 and then divide that result by 32:

		√89
		32

≈

		9.434
		32

≈ 0.2948

Square Root of a Fraction
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Square Root of 89/33
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